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Dynamics of a nonlocal SIS epidemic model with free boundary
- Source :
- Discrete & Continuous Dynamical Systems - B. 22:247-266
- Publication Year :
- 2017
- Publisher :
- American Institute of Mathematical Sciences (AIMS), 2017.
-
Abstract
- This paper is concerned with the spreading or vanishing of a epidemic disease which is characterized by a diffusion SIS model with nonlocal incidence rate and double free boundaries. We get the full information about the sufficient conditions that ensure the disease spreading or vanishing, which exhibits a detailed description of the communicable mechanism of the disease. Our results imply that the nonlocal interaction may enhance the spread of the disease.
- Subjects :
- Physics
genetic structures
Applied Mathematics
010102 general mathematics
Dynamics (mechanics)
Boundary (topology)
01 natural sciences
010101 applied mathematics
Disease spreading
Reaction–diffusion system
Discrete Mathematics and Combinatorics
Epidemic disease
Statistical physics
0101 mathematics
Diffusion (business)
Epidemic model
Subjects
Details
- ISSN :
- 1553524X
- Volume :
- 22
- Database :
- OpenAIRE
- Journal :
- Discrete & Continuous Dynamical Systems - B
- Accession number :
- edsair.doi...........e06a772439fb5dfad1dd1bcc8c400cf3
- Full Text :
- https://doi.org/10.3934/dcdsb.2017013